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				<h1 class="content-heading">
                [Usaco2016 Open]Field Reduction                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>
<div>Farmer John's N cows (5&le;N&le;50,000) are all located at distinct positions in his two-dimensional fie</div>
<div>ld. FJ wants to enclose all of the cows with a rectangular fence whose sides are parallel to the x a</div>
<div>nd y axes, and he wants this fence to be as small as possible so that it contains every cow (cows on</div>
<div>&nbsp;the boundary are allowed).FJ is unfortunately on a tight budget due to low milk production last qua</div>
<div>rter. He would therefore like to build an even smaller fenced enclosure if possible, and he is willi</div>
<div>ng to sell up to three cows from his herd to make this possible.Please help FJ compute the smallest&nbsp;</div>
<div>possible area he can enclose with his fence after removing up to three cows from his herd (and there</div>
<div>after building the tightest enclosing fence for the remaining cows).For this problem, please treat c</div>
<div>ows as points and the fence as a collection of four line segments (i.e., don't think of the cows as&nbsp;</div>
<div>&quot;unit squares&quot;). Note that the answer can be zero, for example if all remaining cows end up standing</div>
<div>&nbsp;in a common vertical or horizontal line.</div>
<div>给定平面上N个点。现你可以删去至多3个点，接着你需要用一个矩形包含所有的点，点可以在矩形的边上，矩形的</div>
<div>边须与坐标轴平行。最小化矩形的面积并输出这个值。</div>
<div>5 &le; N &le; 50000, 1 &le; X_i, Y_i &le; 40000</div>
</div>
<div>
<div style="font-family: Arial; font-size: 14px; line-height: 15.8666658401489px;"></div>
</div>
<div></div>
<p></p></p><hr/><h3>输入格式</h3><p><div>The first line of input contains N.</div>
<div>The next N lines each contain two integers specifying the locati</div>
<div>on of a cow. Cow locations are positive integers in the range 1&hellip;40,000.</div>
<p></p>
<p></p></p><hr/><h3>输出格式</h3><p><p>&nbsp;Write a single integer specifying the minimum area FJ can enclose with his fence after removing up t</p>
<div>o three carefully-chosen cows from his herd.</div></p><hr/><h3>样例输入</h3><pre>6
1 1
7 8
10 9
8 12
4 100
50 7</pre><hr/><h3>样例输出</h3><pre>12</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Silver鸣谢frank_c1提供翻译</p>
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